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Simplifying 11 = a(2) + b(2) + 1 Reorder the terms for easier multiplication: 11 = 2a + b(2) + 1 Reorder the terms for easier multiplication: 11 = 2a + 2b + 1 Reorder the terms: 11 = 1 + 2a + 2b Solving 11 = 1 + 2a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 11 + -2a = 1 + 2a + -2a + 2b Combine like terms: 2a + -2a = 0 11 + -2a = 1 + 0 + 2b 11 + -2a = 1 + 2b Add '-11' to each side of the equation. 11 + -11 + -2a = 1 + -11 + 2b Combine like terms: 11 + -11 = 0 0 + -2a = 1 + -11 + 2b -2a = 1 + -11 + 2b Combine like terms: 1 + -11 = -10 -2a = -10 + 2b Divide each side by '-2'. a = 5 + -1b Simplifying a = 5 + -1b
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